Coupled-cluster theory for three-body Hamiltonians

Hagen, G.; Papenbrock, T.; Dean, D. J.; Schwenk, A.; Nogga, A.; Wloch, M.; Piecuch, P.

Coupled-cluster theory for three-body Hamiltonians

Authors

Description

We derive coupled-cluster equations for three-body Hamiltonians. The equations for the one- and two-body cluster amplitudes are presented in a factorized form that leads to an efficient numerical implementation. We employ low-momentum two- and three-nucleon interactions and calculate the binding energy of He-4. The results show that the main contribution of the three-nucleon interaction stems from its density-dependent zero-, one-, and two-body terms that result from the normal ordering of the Hamiltonian in coupled-cluster theory. The residual three-body terms that remain after normal ordering can be neglected.
12 pages, 9 figures